Homotopy dimension
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In mathematics, especially algebraic topology, the homotopy dimension of a topological space does not have a fixed meaning. However, it can refer to
- the minimum dimension of a CW complex that is homotopy equivalent to the space.
- the Lebesgue covering dimension of the space
- homotopy dimension introduced by Lurie in his Higher Topos Theory for an ∞-topos.
Further reading
[edit | edit source]- https://mathoverflow.net/questions/232558/dimension-of-a-homotopy-type
- https://mathoverflow.net/questions/56889/homotopy-dimension-of-a-mapping
- http://pantodon.jp/index.rb?body=dimension_theory in Japanese
- https://ncatlab.org/nlab/show/homotopy+dimension (this article is about homotopy dimension in Lurie' higher topos theory)
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